EDIT: I'm searching for the extension of the CIF but without success. If you have a link, feel free to share.
Thanks again.

Arbolis, that's the next section after the introduction of Cauchy's Integral Formula. It's called "Differentiability of Cauchy-Type Integrals". It's in any text on Complex Analysis. My favorite is "Basic Complex Analysis" by Marsden and Hoffman.

Another attempt!

Originally Posted by shawsend

Arbolis, that's the next section after the introduction of Cauchy's Integral Formula. It's called "Differentiability of Cauchy-Type Integrals". It's in any text on Complex Analysis. My favorite is "Basic Complex Analysis" by Marsden and Hoffman.

Ok thanks for sharing, I think I now know the formula.

For , I get that it equals .

Now comes .
The formula states that . I notice that in the exercise and .
Thus I have ... I don't think it's possible.
What did I do wrong?